A straight line (y=x) can be written as a sum over sinusoids, known as a Fourier Series.pic.twitter.com/Obii1qd62T
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But this does not converge at x = 0, since the sum is clearly 0 at x = 0 for arbitrary n, no?
note that the sum at 0 equals 0 is consistent with every frame of the animation
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Yes, but the animation also clearly seems to indicate that the series does not converge to the white line, exactly due to this condition.
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i don't see what you're talking about.. the line passes directly through (0,0)
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